The Grassmannian and the twistor string: connecting all trees in \({\mathcal N} = 4\) SYM

DOI10.1007/JHEP01(2011)038zbMath1214.81194arXiv1006.1899OpenAlexW2211886525WikidataQ59822200 ScholiaQ59822200MaRDI QIDQ544303

Jacob L. Bourjaily, Anastasia Volovich, Jaroslav Trnka, Congkao Wen

Publication date: 14 June 2011

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.1899

zbMATH Keywords

string dualitygauge symmetrysupersymmetric gauge theorysupersymmetry and duality

Mathematics Subject Classification ID

Trees (05C05) Supersymmetric field theories in quantum mechanics (81T60) Grassmannians, Schubert varieties, flag manifolds (14M15) Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Spinor and twistor methods applied to problems in quantum theory (81R25) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (21)

The geometry of on-shell diagrams ⋮ Positroid stratification of orthogonal Grassmannian and ABJM amplitudes ⋮ Tales of 1001 gluons ⋮ On-shell diagrams, Graßmannians and integrability for form factors ⋮ Non-planar on-shell diagrams ⋮ Emergent unitarity from the amplituhedron ⋮ Illustrations of integrand-basis building at two loops ⋮ Graßmannian integrals in Minkowski signature, amplitudes, and integrability ⋮ Manifestly dual-conformal loop integration ⋮ A note on NMHV form factors from the Graßmannian and the twistor string ⋮ Positivity, Grassmannian geometry and simplex-like structures of scattering amplitudes ⋮ The amplituhedron ⋮ Soft theorem of \( \mathcal{N} = 4\) SYM in Grassmannian formulation ⋮ Yangian in the twistor string ⋮ A direct proof of BCFW recursion for twistor-strings ⋮ Inverse soft factors and Grassmannian residues ⋮ All tree-level amplitudes in massless QCD ⋮ The all-loop integrand for scattering amplitudes in planar \({\mathcal N} = 4\) SYM ⋮ Complete equivalence between gluon tree amplitudes in twistor string theory and in gauge theory ⋮ Generating all tree amplitudes in \( \mathcal{N} = 4\) SYM by inverse soft limit ⋮ The S matrix of 6D super Yang-Mills and maximal supergravity from rational maps

Cites Work

• Unnamed Item
• Twistor-strings, Grassmannians and leading singularities
• The Grassmannian origin of dual superconformal invariance
• Unraveling \(\mathcal{L}_{n, k} \): Grassmannian kinematics
• A duality for the S matrix
• The Yangian origin of the Grassmannian integral
• Local spacetime physics from the Grassmannian
• Unification of residues and Grassmannian dualities
• Superconformal invariants for scattering amplitudes in \({\mathcal N}=4\) SYM theory
• Perturbative gauge theory as a string theory in twistor space
• New recursion relations for tree amplitudes of gluons
• A Grassmannian étude in NMHV minors
• Yangians, Grassmannians and T-duality
• General split helicity gluon tree amplitudes in open twistor string theory
• Dual conformal constraints and infrared equations from global residue theorems in \(\mathcal{N} = 4 \) SYM theory

This page was built for publication: The Grassmannian and the twistor string: connecting all trees in \({\mathcal N} = 4\) SYM